Free Printable PA U2 Similarity Review

1.

In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)

a)

congruent, proportional

b)

proportional, congruent

c)

congruent, congruent

d)

proportional, proportional

2.

Are the triangles similar?

a)

Yes

b)

No

3.

Are the following similar? Why or why not?

a)

Yes. All pairs of corresponding angles are congruent.

b)

No, the corresponding angles are not equal.

c)

No, the ratios of the corresponding sides are not equal.

4.

Are the triangles similar?

a)

Yes

b)

No

5.

Find missing side

a)

5

b)

7

c)

9

d)

11

6.

Are these triangles similar?

a)

Yes

b)

No

7.

Which triangles are similar to triangle A?

a)

B

b)

C

c)

Both

d)

None

8.

Which triangles are similar to triangle A?

a)

B

b)

C

c)

Both

d)

None

9.

Sides in similar figures must be proportional.

a)

True

b)

False

10.

Are these figures similar?

a)

yes

b)

no

11.

Are these figures similar?

a)

yes

b)

no

12.

Polygons that have the same shape and size are called

a)

Shapes

b)

Congruent

c)

Similar

d)

I am not sure

13.

Polygons that have the same shape but their size is scaled up or down are called

a)

Shapes

b)

Congruent

c)

Similar

d)

I am not sure

14.

$\Delta ABC\ \sim\Delta XYZ\ \ is\ read.....$

a)

Triangle ABC is related to Triangle XYZ

b)

Triangle ABC is congruent to Triangle XYZ

c)

Triangle ABC is similar to Triangle XYZ

15.

Use your proportion to find the missing side length.

What is the missing side length?

(a)

16.

Two objects that are the same shape but not the same size are _______.

a)

Congruent

b)

Vertical

c)

Similar

d)

Complementary

17.

All angles in similar figures are congruent.

a)

True

b)

False

18.

In a certain apartment building, the ratio of tenants to cars is 3:5. If there are 30 tenants, how many cars are there?

a)

35

b)

60

c)

18

d)

50

19.

If ABCDE ∼ GHJDF, then∠B is congruent to _______

a)

∠H

b)

∠D

c)

∠F

d)

∠J

20.

The figures are similar. Find the scale factor of the smaller figure to the larger figure.

a)

5:6

b)

6:5

c)

4:7

d)

2:3

21.

a)

2

b)

10

c)

12

d)

15

22.

Find side length X.

a)

16

b)

18

c)

2.4

d)

15

23.

Matching sides are called

a)

Corresponding Sides

b)

Corresponding Angles

c)

The Same

d)

Congruent Sides

24.

All angles in similar figures are congruent (equal).

a)

True

b)

False

25.

Tell whether the two figures are similar. Explain your reasoning.

a)

Yes, similar because corresponding angles are congruent and corresponding sides are in proportion.

b)

No, not similar because corresponding angles are congruent, but corresponding sides are NOT in proportion.

c)

Yes, same shape

d)

No, different sizes

26.

Are the following similar?
Why or why not?

a)

Yes

b)

No, the corresponding angles are not equal.

c)

No, corresponding sides are NOT in proportion.

d)

i dont know

27.

One corresponding set of sides are (a)

Choose from the below words

AB and DE

AB and EF

B and D

EF and DE

28.

Solve for x.

a)

2

b)

15

c)

50

d)

65

29.

Matching sides are called

a)

Corresponding Sides

b)

Corresponding Angles

c)

The Same

d)

Congruent Sides

30.

Two objects that are the same shape but not the same size are _______.

a)

Congruent

b)

Vertical

c)

Similar

d)

Complementary

31.

Matching sides are called

a)

Corresponding Sides

b)

Corresponding Angles

c)

The Same

d)

Congruent Sides

32.

All angles in similar figures are congruent (equal).

a)

True

b)

False

33.

Tell whether the two figures are similar. Explain your reasoning.

a)

Yes, similar because corresponding angles are congruent and corresponding sides are in proportion.

b)

No, not similar because corresponding angles are congruent, but corresponding sides are NOT in proportion.

c)

Yes, same shape

d)

No, different sizes

34.

Are the following similar?
Why or why not?

a)

Yes

b)

No, the corresponding angles are not equal.

c)

No, corresponding sides are NOT in proportion.

d)

i dont know

35.

One corresponding set of sides are (a)

Choose from the below words

AB and DE

AB and EF

B and D

EF and DE

36.

Solve for x.

a)

2

b)

15

c)

50

d)

65

37.

What is the scale factor from triangle ABC to triangle DEF?

a)

1/2

b)

7/3

c)

2/1

d)

10/3

38.

In order for two polygons to be similar, what must be true about the sides and angles?

a)

All sides and angles are congruent

b)

All sides and angles are proportional

c)

Sides are congruent, Angles are proportional

d)

Sides and proportional, Angles are congruent

39.

The following triangles are similar.
AC ∼

a)

DF

b)

AB

c)

ED

d)

FC

40.

a)

TQ AND BE

b)

TS AND CD

c)

RS AND BC

d)

QR AND CD

41.

Correctly match the statements about similar figures.

a)

Corresponding means...

1.

matching

b)

Corresponding angles are...

2.

congruent

c)

Corresponding sides are...

3.

proportional

d)

Two figures with the same...

4.

shape

e)

Not the same...

5.

size

42.

Rectangle ABCD and rectangle DEFG are similar figures. Which of the following proportions is true for the figures?

a)

$\frac{AB}{DE}=\frac{BC}{FG}$

b)

$\frac{AB}{DE}=\frac{CD}{FG}$

c)

$\frac{AB}{CD}=\frac{DE}{GD}$

d)

$\frac{AD}{AB}=\frac{DE}{DF}$

43.

Triangle ABC and triangle WXY are similar figures. Which of the following proportions is true for the figures?

a)

$\frac{AB}{WX}=\frac{BC}{XY}$

b)

$\frac{AB}{BC}=\frac{WY}{WX}$

c)

$\frac{AB}{WY}=\frac{BC}{XY}$

d)

$\frac{AC}{XY}=\frac{BC}{WX}$

44.

Rectangle ABCD and rectangle EFGD are similar figures. Which of the following proportions is true for the figures?

a)

$\frac{AB}{DE}=\frac{BC}{FG}$

b)

$\frac{AB}{EF}=\frac{BC}{FG}$

c)

$\frac{AB}{CD}=\frac{DE}{GD}$

d)

$\frac{AD}{AB}=\frac{DE}{FG}$

45.

In order for two polygons to be similar, what must be true about the sides and angles?

a)

All sides and angles are congruent

b)

All sides and angles are proportional

c)

Sides are congruent, Angles are proportional

d)

Sides and proportional, Angles are congruent

46.

In order for two polygons to be similar, what must be true about the sides and angles?

a)

All sides and angles are congruent

b)

All sides and angles are proportional

c)

Sides are congruent, Angles are proportional

d)

Sides and proportional, Angles are congruent

47.

The following triangles are similar.
AC ∼

a)

DF

b)

AB

c)

ED

d)

FC

48.

a)

TQ AND BE

b)

TS AND CD

c)

RS AND BC

d)

QR AND CD

49.

Correctly match the statements about similar figures.

a)

Corresponding means...

1.

matching

b)

Corresponding angles are...

2.

congruent

c)

Corresponding sides are...

3.

proportional

d)

Two figures with the same...

4.

shape

e)

Not the same...

5.

size

50.

The pair of figures is similar. Find the missing side.

a)

x = 9

b)

x = 28

c)

x = 7

d)

x = 63

51.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

52.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

53.

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?

a)

144 feet

b)

72 feet

c)

36 feet

d)

8 feet

54.

Are the following similar? Why or why not?

a)

Yes

b)

No, the corresponding angles are not equal.

c)

No, the ratios of the corresponding sides are not equal.

55.

Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)

a)

Yes, similar because they are the same shape and side lengths are proportional.

b)

No, not similar because they are the same shape, but side lengths are not proportional.

c)

Yes, same shape

d)

No, different sizes

56.

Find y.

a)

144

b)

18

c)

72

d)

12

57.

Complete each proportion.
CB / DM = AC / ?

a)

BM

b)

MA

c)

BC

d)

AD

58.

Mrs. Ashley used similar triangles to make a design. Which statement about the triangles in the design must be true?

a)

They are the same size and shape.

b)

They are the same size but different shapes.

c)

They have corresponding angles that are congruent.

d)

They have corresponding sides that are congruent.

59.

Which shapes are similar?

(Click on the two you think are similar)

a)

ABC

b)

FED

c)

IHG

60.

choose the shapes that create a dilation.

(CHOOSE ALL THAT APPLY)

a)

Figure 1

b)

Figure 2

c)

Figure 3

d)

Figure 4

PA U2 Similarity Review

Total questions: 60

Worksheet time: 3hrs 0mins

Similar Resources on Wayground